Greensupplychainmanagementincreasinglyhasemergedasanessentialapproachformanybusinessenterprisesandorganizationstobecomeenvironmentallysustainable.Suppliersplayanimportantroleincreatingasustain-ablesupplychain.ThisstudyaimsatselectingsuppliersofKhouzestanSteelCompany(KSC)basedontheirgreeninnovationability.Inthisresearch,theCompany’salternativesuppliersareidentifiedandthemosteffectivecrite-riaforsupplierselectionbasedonthesupplier’sgreeninnovationabilitiesisdetermined.TheBest-WorstMethodisusedtorankthevariouscriteriaofgreensupplierselectioninthemulti-criteriadecision-makingproblem.Then,theFuzzyTOPSIS(TechniqueforOrderofPreferencebySimilaritytoIdealSolution)isemployedtorankthevarioussuppliersbasedonweightedcriteriaforselectingthemosteffectivesuppliersamongsetofalternativesuppliers.ThisstudycontributestofindingthekeyfactorsofselectinggreensuppliersforKSC.AnalyzingtheKSCsupplierselection’skeyfactorsindicatethatthegreeninnovationscriteriashouldbegivenmoreattentionbyKSCinthegreensupplierselection.Theoutcomeofthisresearchishelpfultorankthesuppliersconsequentlybasedontheirgreeninnovationabilities.Theorganizationscanreplicatetheproposedsupplierselectionframeworkforothersupplierssuchasspareparts,consumablematerialsandtechnical,design,anddevelopmentservicessuppliers.Sensitivityanalysisisalsoperformedinordertochecktherobustnessoftheframeworkandeliminatetheeffectofbiasness.Limitationsofthestudyalongwithfutureresearchdirectionsarealsopresented